CN110008522A - A kind of refractor equation of impulse turbine Coefficient Analysis method - Google Patents
A kind of refractor equation of impulse turbine Coefficient Analysis method Download PDFInfo
- Publication number
- CN110008522A CN110008522A CN201910179760.6A CN201910179760A CN110008522A CN 110008522 A CN110008522 A CN 110008522A CN 201910179760 A CN201910179760 A CN 201910179760A CN 110008522 A CN110008522 A CN 110008522A
- Authority
- CN
- China
- Prior art keywords
- jet deflector
- equation
- jet
- turbine
- deflector
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000004458 analytical method Methods 0.000 title claims abstract description 13
- 238000000034 method Methods 0.000 claims abstract description 30
- 230000014509 gene expression Effects 0.000 claims abstract description 12
- 230000001052 transient effect Effects 0.000 claims abstract description 12
- 238000013178 mathematical model Methods 0.000 claims abstract description 7
- 238000004364 calculation method Methods 0.000 claims abstract description 5
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 21
- 230000000694 effects Effects 0.000 claims description 8
- 238000009434 installation Methods 0.000 claims description 3
- 230000010354 integration Effects 0.000 claims description 3
- 238000010586 diagram Methods 0.000 description 2
- 239000007921 spray Substances 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000005507 spraying Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Geometry (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Evolutionary Computation (AREA)
- Computer Hardware Design (AREA)
- General Engineering & Computer Science (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Hydraulic Turbines (AREA)
Abstract
The present invention relates to a kind of refractor equation of impulse turbine Coefficient Analysis methods, belong to electrical equipment technical field.The present invention is directed to impulse turbine, in the theoretical basis of mature Francis turbine transient process calculation, introduces jet deflector and adjusts factor, provide the mathematical model of great fluctuation process transient process revolving speed.Consider that the discharge relation in jet deflector movement and unit introduces jet deflector equation and derives the functional relationship model of jet deflector equation coefficient and time.As long as producer, which provides detailed machine unit characteristic curve, when the present invention solves revolving speed according to torque can find out accurate theoretical value；It is solved according to power output side, then needs to introduce jet deflector equation, that is, the relation function between the flow being mapped on bucket and jet deflector aperture.The present invention derives the relational expression of jet deflector equation coefficient and time, provides certain foundation for the research and design of later impact type power station great fluctuation process process, and the calculating and analysis to jet deflector equation coefficient have certain practical significance.
Description
Technical field
The present invention relates to a kind of refractor equation of impulse turbine Coefficient Analysis methods, belong to power equipment technology neck
Domain.
Background technique
Impulse turbine is to be drawn that there is the jet stream of kinetic energy to rush at runner bucket by means of special water distributor jet pipe, is made
Runner rotation acting, to complete a kind of hydraulic prime mover that water energy is converted into mechanical energy.Its flow is adjusted through mobile spray
Pin position realizes that the movement of nozzle needle is by governor control servomotor manipulation.When 100% full removal of load of unit, in order to avoid
The revolving speed of water turbine set rises, and to close nozzle as early as possible to reduce flow, but closing velocity is too fast to produce in penstocks
Raw water hammer rises pressure.So jet deflector rapidly separates the jet stream for spraying to head when removal of load while nozzle needle slowly closes
It closes.Jet deflector and nozzle will be analyzed during load rejection to form bucket the control situation and jet stream of flow
Torque and revolving speed influence.The effect that nozzle is not only considered in the stable calculating of great fluctuation process, will also consider jet deflector
Effect, needs to carry out the calculating of jet deflector equation.So the influence of jet deflector equation i.e. jet deflector movement to water flow is closed
System, the accuracy of coefficient are important for the calculating of engineering.
Summary of the invention
The present invention provides a kind of refractor equation of impulse turbine Coefficient Analysis methods, derive jet deflector system of equations
Several relational expressions with the time, for later impact type power station great fluctuation process process research and design provide it is certain according to
According to calculating and analysis to jet deflector equation coefficient have certain practical significance.
To achieve the above object, the technical solution adopted by the present invention is that: provide a kind of impulse turbine jet deflector side
Journey Coefficient Analysis method, the present invention are directed to impulse turbine, in mature Francis turbine transient process calculation
In theoretical basis, introduces jet deflector and adjust factor, provide the mathematical model of great fluctuation process transient process revolving speed.Consider jet deflector movement
Jet deflector equation is introduced with the discharge relation in unit and derives the functional relationship model of jet deflector equation coefficient and time.
Specifically, for impulse turbine, in the theoretical base of mature Francis turbine transient process calculation
On plinth, introduces jet deflector and adjusts factor, provide the mathematical model of great fluctuation process transient process revolving speed:
For having generator power N in the case of the great fluctuation process of the full removal of load of unit 100%g=0 or generator electromagnetic torque Mg
=0；
(1) it is solved according to torque
According to the hydraulic turbine performance curve that producer provides, the revolving speed lift-off value that torque solves the hydraulic turbine can use.To water
The rotation equation Integration Solving of turbine generator group；
In formula: n is generator speed；n0For generator initial speed；J is unit rotating part and the additional rotation of water body
Inertia；MtFor the hydraulic turbine torque of t moment；Mt0For hydraulic turbine initial moment；The severe of γ expression water；QBucketIndicate that nozzle is mapped to
The flow of the hydraulic turbine；The working head of the H expression hydraulic turbine；The gross efficiency of the η hydraulic turbine；
(2) solved according to power output
N in formulat0For hydraulic turbine initial power, N=γ QBucketH η, γ=9.81KN/m3,[GD2] flywheel moment
t·m3；
Specifically, consider that the discharge relation in jet deflector movement and unit introduces jet deflector equation and derives jet deflector side
The functional relationship model of journey coefficient and time:
Due to the effect of jet deflector, the flow in nozzle preceding pipeline is different with the flow in water turbine set, contributes calculating
When, jet deflector should be acted and be taken into account with the discharge relation in unit, so introducing jet deflector equation；
It is assumed that the flow of the hydraulic turbine and the flow of nozzle are in linear relation, i.e.,
QBucket=δ QSpray
Wherein, δ is jet deflector equation coefficient, and value can be by analyzing the movement convection current of jet deflector from physical essence
The influence of amount determines；QSprayWater flow is projected for nozzle；
Corresponding to nozzle needle aperture τ, the radian value L for the whole story boundary point that the jet deflector of jet diameter d workss,LzAre as follows:
In formula: L0For the length of jet deflector；b0It is equilbrium position apart from the corresponding jet stream top edge of maximum opening；d0For most
The big corresponding jet diameter of aperture is.
Its specific value has with different jet diameter caused by jet deflector size and installation site and needle-valve different opening
It closes.
To which the expression formula of coefficient δ in jet deflector equation can be released:
Wherein θ is the radian value of jet deflector deflection.
Assuming that jet deflector is ignored from equilbrium position to the actuation time of needle-valve upper end position, opened from needle-valve upper end position
Beginning does uniform circular motion, and angular speed isEquilbrium position and needle-valve upper end position angle are θ1, so the corresponding angle radian θ
Angle value are as follows:
Radian value:
So can determine τ value by jet diameter d in t moment:
It may thereby determine that the corresponding radian value of jet deflector effect whole story boundary point.
The functional relationship model of jet deflector equation coefficient and time t:
The beneficial effects of the present invention are:
(1) as long as producer's detailed machine unit characteristic curve of offer can find out accurate theory when the present invention is solved according to torque
Value；
(2) present invention derives the relational expression of jet deflector equation coefficient and time, is that later impact type power station is big
The research and design of wave process provide certain foundation, and the calculating and analysis to jet deflector equation coefficient have certain reality
Border meaning.
Detailed description of the invention
Fig. 1 is overall flow figure of the present invention；
Fig. 2 impulse turbine jet deflector action schematic diagram.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawing and specific implementation
Example, invention is further described in detail.
Embodiment 1: as shown in Figs. 1-2, a kind of refractor equation of impulse turbine Coefficient Analysis method, comprising: be directed to
Impulse turbine introduces jet deflector and adjusts in the theoretical basis of mature Francis turbine transient process calculation
Factor provides the mathematical model of great fluctuation process transient process revolving speed.Consider that the discharge relation in jet deflector movement and unit introduces folding
To device equation and derive the functional relationship model of jet deflector equation coefficient and time.
Further, great fluctuation process transient process impulse turbine revolving speed mathematical model:
For having generator power N in the case of the great fluctuation process of the full removal of load of unit 100%g=0 or generator electromagnetic torque Mg
=0；
(1) it is solved according to torque
According to the hydraulic turbine performance curve that producer provides, the revolving speed lift-off value that torque solves the hydraulic turbine can use.To water
The rotation equation Integration Solving of turbine generator group；
In formula: n is generator speed；n0For generator initial speed；J is unit rotating part and the additional rotation of water body
Inertia；MtFor the hydraulic turbine torque of t moment；Mt0For hydraulic turbine initial moment；The severe of γ expression water；QBucketIndicate that nozzle is mapped to
The flow of the hydraulic turbine；The working head of the H expression hydraulic turbine；The gross efficiency of the η hydraulic turbine；
(2) solved according to power output
N in formulat0For hydraulic turbine initial power, N=γ QBucketH η, γ=9.81KN/m3,[GD2] flywheel moment
t·m3。
Further, consider that the discharge relation in jet deflector movement and unit introduces jet deflector equation and derives jet deflector
The functional relationship model of equation coefficient and time:
Due to the effect of jet deflector, the flow in nozzle preceding pipeline is different with the flow in water turbine set, impulse water wheel
Machine jet deflector action schematic diagram is as shown in Figure 2.When calculating power output, jet deflector should be acted and be considered with the discharge relation in unit
Inside, so introducing jet deflector equation；
It is assumed that the flow of the hydraulic turbine and the flow of nozzle are in linear relation, i.e.,
QBucket=δ QSpray
Wherein, δ is jet deflector equation coefficient, and value can be by analyzing the movement convection current of jet deflector from physical essence
The influence of amount determines；QSprayWater flow is projected for nozzle；
The action process of jet deflector is analyzed:
1. flow does not change with the movement of jet deflector, consistently equal to the flow of nozzle between position 1~2, i.e., only by
The influence of nozzle, δ=1；
2. flow is not only influenced by nozzle needle between position 2~5, but also is influenced by jet deflector, value is less than spray
The flow of needle is greater than 0, i.e. 0 < δ < 1；
3. the variation of flow is only influenced by jet deflector between position 5~6, unrelated with the variation of nozzle aperture, always
It is 0, i.e. δ=0；
Corresponding to nozzle needle aperture τ, the radian value L for the whole story boundary point that the jet deflector of jet diameter d workss,LzAre as follows:
In formula: L0For the length of jet deflector；b0It is equilbrium position apart from the corresponding jet stream top edge of maximum opening；d0For most
The big corresponding jet diameter of aperture is.
Its specific value has with different jet diameter caused by jet deflector size and installation site and needle-valve different opening
It closes.
To which the expression formula of coefficient δ in jet deflector equation can be released:
Wherein θ is the radian value of jet deflector deflection.
Assuming that jet deflector is ignored from equilbrium position to the actuation time of needle-valve upper end position, opened from needle-valve upper end position
Beginning does uniform circular motion, and angular speed isEquilbrium position and needle-valve upper end position angle are θ1, so the corresponding angle radian θ
Angle value are as follows:
Radian value:
So can determine τ value by jet diameter d in t moment:
It may thereby determine that the corresponding radian value of jet deflector effect whole story boundary point.
The functional relationship model of jet deflector equation coefficient and time t:
In conjunction with attached drawing, the embodiment of the present invention is explained in detail above, but the present invention is not limited to above-mentioned
Embodiment within the knowledge of a person skilled in the art can also be before not departing from present inventive concept
Put that various changes can be made.
Claims (3)
1. a kind of refractor equation of impulse turbine Coefficient Analysis method, characterized by the following steps: for impact
The formula hydraulic turbine introduces jet deflector and adjusts factor, provide great fluctuation process in the theoretical basis of Francis turbine transient process calculation
Transient process impulse turbine revolving speed mathematical model；Jet deflector side is introduced according to the discharge relation in jet deflector movement and unit
Journey and the functional relationship model for deriving jet deflector equation coefficient and time.
2. a kind of refractor equation of impulse turbine Coefficient Analysis method according to claim 1, it is characterised in that: institute
State great fluctuation process transient process impulse turbine revolving speed mathematical model are as follows:
For having generator power N in the case of the great fluctuation process of the full removal of load of unit 100%g=0 or generator electromagnetic torque Mg=0；
(1) it is solved according to torque
According to the hydraulic turbine performance curve that producer provides, it can use the revolving speed lift-off value that torque solves the hydraulic turbine, water wheels sent out
The rotation equation Integration Solving of motor group；
In formula: n is generator speed；n0For generator initial speed；J is unit rotating part and the additional rotary inertia of water body；
MtFor the hydraulic turbine torque of t moment；Mt0For hydraulic turbine initial moment；The severe of γ expression water；QBucketIndicate that nozzle is mapped to the hydraulic turbine
Flow；The working head of the H expression hydraulic turbine；The gross efficiency of the η hydraulic turbine；
(2) solved according to power output
N in formulat0For hydraulic turbine initial power, N=γ QBucketH η, γ=9.81KN/m3,[GD2] flywheel moment tm3。
3. a kind of refractor equation of impulse turbine Coefficient Analysis method according to claim 1, which is characterized in that root
Jet deflector equation is introduced according to the discharge relation in jet deflector movement and unit and derives the letter of jet deflector equation coefficient and time
Number relational model:
Due to the effect of jet deflector, the flow in nozzle preceding pipeline is different with the flow in water turbine set, when calculating power output, answers
Discharge relation in jet deflector movement and unit is taken into account, so introducing jet deflector equation；
It is assumed that the flow of the hydraulic turbine and the flow of nozzle are in linear relation, i.e.,
QBucket=δ QSpray
Wherein, δ is jet deflector equation coefficient, and value can be by analyzing the movement of jet deflector from physical essence to flow
It influences to determine；QSprayWater flow is projected for nozzle；
Corresponding to nozzle needle aperture τ, the radian value L for the whole story boundary point that the jet deflector of jet diameter d workss,LzAre as follows:
In formula: L0For the length of jet deflector；b0It is equilbrium position apart from the corresponding jet stream top edge of maximum opening；d0It is opened for maximum
Corresponding jet diameter is spent, specific value is penetrated with difference caused by jet deflector size and installation site and needle-valve different opening
Flow diameter is related；
To which the expression formula of coefficient δ in jet deflector equation can be released:
Wherein θ is the radian value of jet deflector deflection；
Assuming that jet deflector is ignored from equilbrium position to the actuation time of needle-valve upper end position, done since needle-valve upper end position
Uniform circular motion, angular speed areEquilbrium position and needle-valve upper end position angle are θ1, so the corresponding angle value of radian θ
Are as follows:
Radian value:
So can determine τ value by jet diameter d in t moment:
It may thereby determine that the corresponding radian value of jet deflector effect whole story boundary point；
The functional relationship model of jet deflector equation coefficient and time t:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910179760.6A CN110008522A (en) | 2019-03-11 | 2019-03-11 | A kind of refractor equation of impulse turbine Coefficient Analysis method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910179760.6A CN110008522A (en) | 2019-03-11 | 2019-03-11 | A kind of refractor equation of impulse turbine Coefficient Analysis method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN110008522A true CN110008522A (en) | 2019-07-12 |
Family
ID=67166740
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910179760.6A Pending CN110008522A (en) | 2019-03-11 | 2019-03-11 | A kind of refractor equation of impulse turbine Coefficient Analysis method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN110008522A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112487733A (en) * | 2020-11-27 | 2021-03-12 | 长江勘测规划设计研究有限责任公司 | Method and system for calculating adjustment guarantee value of axial flow through-flow type turbine unit |
| CN116448304A (en) * | 2023-06-16 | 2023-07-18 | 哈尔滨电机厂有限责任公司 | Model hydroturbine deflector static moment measuring device |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103823947A (en) * | 2014-03-14 | 2014-05-28 | 云南电力试验研究院（集团）有限公司电力研究院 | Deflector mathematic model in load shedding process of impact type hydroelectric machine |
-
2019
- 2019-03-11 CN CN201910179760.6A patent/CN110008522A/en active Pending
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103823947A (en) * | 2014-03-14 | 2014-05-28 | 云南电力试验研究院（集团）有限公司电力研究院 | Deflector mathematic model in load shedding process of impact type hydroelectric machine |
Non-Patent Citations (2)
| Title |
|---|
| 冯培磊 等: ""冲击式水轮机折向器模型研究"", 《云南电力技术》 * |
| 刘小莲 等: ""冲击式水轮机折向器方程研究"", 《中国农村水利水电》 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112487733A (en) * | 2020-11-27 | 2021-03-12 | 长江勘测规划设计研究有限责任公司 | Method and system for calculating adjustment guarantee value of axial flow through-flow type turbine unit |
| CN112487733B (en) * | 2020-11-27 | 2022-06-28 | 长江勘测规划设计研究有限责任公司 | Method and system for calculating adjustment guarantee value of axial flow through-flow type turbine unit |
| CN116448304A (en) * | 2023-06-16 | 2023-07-18 | 哈尔滨电机厂有限责任公司 | Model hydroturbine deflector static moment measuring device |
| CN116448304B (en) * | 2023-06-16 | 2023-12-19 | 哈尔滨电机厂有限责任公司 | Model hydroturbine deflector static moment measuring device |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN106050566B (en) | A kind of blunt trailing edge wind mill airfoil circulation control device and method | |
| Thakur et al. | CFD analysis of performance improvement of the Savonius water turbine by using an impinging jet duct design | |
| CN102122310B (en) | Train diagram-based traction load modeling method | |
| Li et al. | Numerical study on the performance effect of solidity on the straight-bladed vertical axis wind turbine | |
| CN107524557A (en) | A kind of multistage tidal current energy water turbine based on real-time, tunable kuppe corner | |
| CN110008522A (en) | A kind of refractor equation of impulse turbine Coefficient Analysis method | |
| WO2022001691A1 (en) | Shark gill-shaped blade drag reduction structure for wind generator, blade, and manufacturing method | |
| Gareev | Analysis of variable pitch air turbines for oscillating water column (OWC) wave energy converters | |
| CN115544884A (en) | Large wind power plant wake flow rapid calculation method and system based on data driving | |
| Zheng et al. | Uniform test method optimum design for drag-type modified Savonius VAWTs by CFD numerical simulation | |
| CN205779470U (en) | A kind of blunt trailing edge wind mill airfoil circulation control device | |
| Xu et al. | Research on energy harvesting properties of a diffuser-augmented flapping wing | |
| Huang et al. | Study on the optimal design of vertical axis wind turbine with novel variable solidity type for self-starting capability and aerodynamic performance | |
| CN101655063A (en) | On-line adjustment method for KAPLAN unit | |
| CN109505723A (en) | A kind of flow increasing formula intelligence hydraulic turbine system using tail water stream regenerative electric power | |
| Zhang et al. | A method of reducing the radial load of the shaft of a vertical axis wind turbine based on movable mass blocks | |
| Wang et al. | Effects of blade parameters on the hydrodynamic performance of an impulse turbine of oscillation water column wave energy | |
| CN106599381A (en) | Method for improving efficiency of wind turbine by adjusting pitch angle and rotating speed of wind wheel | |
| Angle et al. | Lift augmentation for vertical axis wind turbines | |
| CN109611268A (en) | A kind of bilobed wheel horizontal-shaft wind turbine design optimization method | |
| CN204532697U (en) | A kind of wind sail system being provided with controllable gate | |
| CN107829874A (en) | A kind of hydraulic turbine to be generated electricity based on combined type multistage marine tidal-current energy | |
| Sun et al. | Impact of trailing edge jet on the performance of a vertical axis wind turbine | |
| Balaka et al. | Pitch angle effect for horizontal axis river current turbine | |
| CN107829861B (en) | A kind of impulse turbine based on pyriform line airfoil fan |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20190712 |